5. For each of the following densities from Appendix A, provide a conjugate prior distribution for the unknown parameter(s), if one exists:

(a) X ∼ Bin(n, θ), n known

(b) X ∼ NegBin(r, θ), r known

(c) X ∼ Mult(n, θ), n known

(d) X ∼ G(α, β), α known

(e) X ∼ G(α, β), β known

(f) X ∼ Nk(θ, Σ), Σ known

(g) X ∼ Nk(θ, Σ), θ known